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Without using trigonometric tables, evaluate each of the following: `(sec39)/(cosec 51)+2/(sqrt(3))tan17tan38tan60tan52tan73-3(sin^2 31+sin^2 59)`

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following identities: sin^6A+cos^6A=1-3sin^2Acos^2A

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  2. Prove the following identities: sec^4A-sec^2A=tan^4A+tan^2A

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  3. Without using trigonometric tables, evaluate each of the following: (...

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  4. Without using trigonometric tables, evaluate each of the following: ...

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  5. Without using trigonometric tables, evaluate each of the following: (...

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  6. Without using trigonometric tables, evaluate each of the following: 2/...

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  7. Prove the following trigonometric identities: (i)(1-sin^2theta)sec^2...

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  8. Prove the following trigonometric identities: cos^2theta+1/(1+cot^2...

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  9. Prove: cos e c^2theta+sec^2theta=cos e c^2thetasec^2theta

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  10. Prove the following trigonometric identities : cot^2theta-1/(sin^2t...

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  11. Prove the following trigonometric identities : (1+cot^2theta)(1-cos...

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  12. If x=rsinAcosC ,\ \ y=rsinAsinC and z=rcosA , prove that r^2=x^2+y^...

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  13. If acostheta+bsintheta=m and asintheta-bcostheta=n , prove that a^2...

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  14. If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

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  15. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

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  16. Prove the following identities: (i) costhetasin(90^o-theta)+sintheta...

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  17. Prove: (1-cos^2A)cos e c^2A=1

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  18. Prove: (1+cot^2A)sin^2A=1

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  19. Prove: tan^2thetacos^2theta=1-cos^2theta

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  20. Prove: cos e c\ thetasqrt(1-cos^2theta)=1

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